U.S. patent number 3,804,531 [Application Number 05/230,725] was granted by the patent office on 1974-04-16 for color analyzer.
Invention is credited to Takeshi Kosaka, Sanjiro Murakami, Mikio Naya.
United States Patent |
3,804,531 |
Kosaka , et al. |
April 16, 1974 |
**Please see images for:
( Certificate of Correction ) ** |
COLOR ANALYZER
Abstract
A color analyzer for measuring a color synthesized by the
additive mixture of primary colors, each having an arbitrary but
constant relative spectral energy distribution. The color analyzer
has a light receiving portion consisting of three or more
photoelectric transducer elements equal in number to said primary
colors and having independent spectral sensitivities, so as to
generate electric quantities representing the received optical
energy levels, and an electric calculating circuit for generating
electric outputs representing the energy levels of said primary
colors individually, independently and simultaneously. The color
analyzer can also measure the luminance of the light source, and
display CIE chromaticity.
Inventors: |
Kosaka; Takeshi (Sakai, Osaka,
JA), Murakami; Sanjiro (Nagata-ku, Kobe,,
JA), Naya; Mikio (Toyakawa, Aichi, JA) |
Family
ID: |
27576455 |
Appl.
No.: |
05/230,725 |
Filed: |
March 1, 1972 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
Issue Date |
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764081 |
Oct 1, 1968 |
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Foreign Application Priority Data
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Oct 2, 1967 [JA] |
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42-83809 |
Oct 11, 1967 [JA] |
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42-6527 |
Jan 17, 1968 [JA] |
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43-278 |
Jun 26, 1968 [JA] |
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43-54102 |
Jul 29, 1968 [JA] |
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43-64948 |
Aug 14, 1968 [JA] |
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43-69839 |
Aug 23, 1968 [JA] |
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43-72947 |
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Current U.S.
Class: |
356/405; 250/205;
250/226; 348/182; 356/406 |
Current CPC
Class: |
G01J
3/465 (20130101); G01J 3/46 (20130101); G06G
7/75 (20130101); G01J 3/462 (20130101); G01J
3/524 (20130101); G01J 3/513 (20130101); G01J
3/51 (20130101) |
Current International
Class: |
G06G
7/00 (20060101); G01J 3/46 (20060101); G06G
7/75 (20060101); G01j 003/50 () |
Field of
Search: |
;356/173 ;250/226,205
;178/5.6,DIG.4 |
References Cited
[Referenced By]
U.S. Patent Documents
Other References
NHK Laboratories Note, Serial No. 137, December 1970: A
Colorimetric Meas. Instrum. for TV Cameras, T. Saito, 15
pp..
|
Primary Examiner: Wibert; Ronald L.
Assistant Examiner: Webster; R. J.
Attorney, Agent or Firm: Waters, Roditi, Schwartz &
Nissen
Parent Case Text
OTHER APPLICATIONS
This application is a continuation-in-part of our earlier filed and
copending application Ser. No. 764,081, filed Oct. 1, 1968, now
abandoned.
Claims
1. A color analyzer for determining individual primary color output
levels of any light source constituted by the additive color
mixture of primary color stimuli having an arbitrary but fixed
spectral distribution comprising:
at least three photodetector means responsive to different spectral
portions of the light emitted by said source and for providing
electric signals proportional to the light incident thereon, the
spectral sensitivity of each photodetector means corresponding with
the spectral distribution of a given additive primary color; an
electric matrix circuit means responsive to the signals generated
by the photodetector means for analyzing the information in said
signals by solving the following equation:
wherein x.sub.b, x.sub.G and x.sub.R are the coefficients of the
energy levels of the blue, green and red additive primary color
stimuli respectively of the color to be measured, C.sub.B, C.sub.G
and C.sub.R are integral terms representing the color emitted by
each additive primary color stimulus at a predetermined energy
level represented by the aforementioned coefficients and as
detected by each of said photodetector means with the
aforementioned spectral sensitivities; and A.sub.ij (i=1-3, j=1-3)
are the integral terms corresponding to the color emitted by each
additive primary color stimulus regardless of the energy level but
due to its fixed energy level distribution which is independent of
energy level, and as detected by each of said photodetector means
with the aforementioned spectral sensitivities; and indicator means
connected to said matrix circuit means to indicate the energy level
of a respective one
2. A color analyzer as claimed in claim 1 wherein:
wherein X, Y and Z are outputs of the matrix circuit means which
correspond to C.I.E. tristimulus values of the color to be measured
and E.sub.ij (i=1-3, j=1-3) where C.sub.ij.sup.. D.sub.ij (i=1-3,
j=1-3) where C.sub.ij are integral terms representing the color
emitted by each additive primary color stimulus as detected by each
detector means with a fixed C.I.E. tristumulus spectral
distribution sensitivity, and where D.sub.ij represent individual
terms of the inverse matrix of the aforesaid matrix
3. A color analyzer as claimed in claim 1 wherein each
photodetector means includes a photoelectric cell and a color
filter for transmitting only
4. A color analyzer as claimed in claim 1 wherein said indicating
means includes three indicators connected respectively with the
outputs of the
5. A color analyzer as claimed in claim 1 comprising a servo-system
and wherein the matrix circuit means includes outputs connected
with said servo-system which adjusts automatically the quantity of
each primary
6. A color analyzer as claimed in claim 1 wherein each
photodetector means has a spectral sensitivity corresponding
respectively to each of the spectral energy distributions of the
primary colors and the adjacent characteristic curves of the
spectral sensitivities slightly overlap each
7. A color analyzer as claimed in claim 1 wherein the matrix
circuit means includes exchangeable circuits independent of one
another and having
8. A color analyzer as claimed in claim 7 wherein more than two
matrix circuits are provided selectably corresponding to the
characteristics of
9. A color analyzer as claimed in claim 1 including memory members
and wherein the photodetector means are exchangeable with the
memory members to obtain electric signals corresponding to outputs
of the photodetector
10. A color analyzer as claimed in claim 9 further comprising more
than one group of memory members which are exchangeable for the
photodetector
11. A color analyzer as claimed in claim 1 wherein each
photodetector means comprises a photoconductive cell, load
resistances, and a transistor including an emitter connected with
the photoconductive cell and a
12. A color analyzer as claimed in claim 11 wherein each
photodetector means includes two condensers connected respectively
in parallel with one
13. A color analyzer as claimed in claim 12 further comprising a
plurality of condensers connected respectively in parallel with
each load
14. A color analyzer as claimed in claim 1 wherein each
photodetector means comprises a photovoltaic cell, a differential
amplifier circuit, one terminal of the cell being connected with
one input terminal of the amplifier circuit, and a feed-back
resistance, the output terminal of the amplifier circuit being
connected with said terminal fo the cell through
15. A color analyzer as claimed in claim 14 wherein the electric
matrix circuit includes said feedback resistances and six further
resistances.
16. A color analyzer as claimed in claim 15 wherein each amplifier
circuit
17. A color analyzer as claimed in claim 16 further comprising
three condensers connected respectively in parallel with said
feedback resistance.
Description
FIELD OF INVENTION
This invention relates to color analyzers, and more particularly to
a color analyzer which detects quantities of primary colors to
produce a color by means of additive mixture.
BACKGROUND
Heretofore, several kinds of color analyzers have been proposed.
According to one of these, firstly, spectral energies of a color to
be analyzed are measured at various spectral wave lengths and then
desired outputs are obtained through a complicated calculation by
means of a computer to which the result of said measurement is
applied. By using such apparatus, one may obtain accurate values
for each of the colors, but such apparatus is too complicated in
structure and too large in dimension to manufacture and use on a
commercial basis. Further, this apparatus is not portable.
Furthermore, the conventional types of the known color analyzers
are usually provided with three detectors including respectively a
color filter and a photoelectric element which has such spectral
characteristics as to satisfy the "Luther condition" approximately,
outputs of said detectors being directly read by means of
indicating means connected respectively with each of the detectors.
Such conventional analyzers, however, can be utilized for
measurement only of such colors as satisfy the Luther
condition.
An analyzer not satisfying the Luther condition can measure
quantities of primary colors in the color constituted by the
additive mixture of the primary colors, if the correspondence
between the spectral sensitivity of the detectors and the spectral
distribution characteristics of the primary colors is effected. But
it is very difficult to attain such correspondence. Furthermore, in
such analyzer, it is impossible to detect independently the
quantity of each of the primary colors, since the characteristic
curves of the spectral distributions of the primary colors
partially overlap each other.
Recently, it has been required to detect independently the quantity
of the primary colors of composite color by means of such detectors
as do not satisfy the Luther condition, in the field, for instance,
of television broadcasting wherein the transmission system is
adjusted by generating the chart image on the fluorescent screen of
the monitor television so as to set thereon the reference white
color, to measure the quantity of the three primary colors included
in said chart image. As will be described hereinafter, three
primary colors of a color emitted from the fluorescent screen of
said color television partially overlap with their characteristic
curves of the spectral distribution.
For avoiding undesirable effects from said overlapping, the
quantity of the three primary colors of such color television has
been measured, hitherto, in such a manner that each of the primary
colors is generated independently on the fluorescent screen of the
monitor television to measure the quantity thereof.
However, the quantity of each of these three primary colors
measured with respect to composite color emitted from the
television differs from that measured independently with respect to
each of the primary colors, since the former quantity is affected
by the electric and/or electromagnetic interference of the
composite circuit.
SUMMARY OF INVENTION
A primary object of the present invention is, thus, to provide a
compact and portable color analyzer which can detect independently
the quantity of each of the primary colors of a color produced by
the additive mixture thereof even if the detectors do not satisfy
the Luther condition and also when the characteristic curves of
spectral distribution of the primary colors partially overlap each
other and are not in correspondence with the spectral sensitivity
characteristics of the detectors.
In the color analyzer of the present invention, if photoconductive
cells such as CdS cells, or photovoltaic cells such as silicon
cells (namely SBC) are used as photoelectric elements in the
detectors, this is better for compactness and portability of the
device, since they are small and require less electric power.
Therefore, another object of the present invention is to provide a
color analyzer using photoconductive cells or photovoltaic cells in
the detectors as the photoelectric means.
It will be easily understood that, when the kinds of object to be
measured are changed, the spectral distribution characteristics of
its primary colors are changed in accordance therewith. Therefore,
it is usually necessary to use for each one an expensive detecting
device corresponding to each kind of object to be measured. A
single detecting device has not heretofore been applicable to all
of the kinds of objects to be measured without a troublesome
adjustment of said device each time the object is changed.
Therefore, a further object of this invention is to provide a color
analyzer wherein, when the kinds of object to be measured are
changed, only a portion thereof is substituted for dealing with the
change.
Furthermore, it is difficult for a device for generating reference
colors to be always available to adjust the detecting device. For
instance, when a device as in the present invention is applied for
measurement of a colored light emitted from the fluorescent screen
of a color television set, it is necessary for some particular
device to be always available for generating the reference colors
in the broadcasting station, and it is also necessary to control it
so that the reference colors can always be generated whenever
needed. It is, however, difficult to maintain such conditions. The
same applies to the manufacturing steps relating to said device.
Moreover, in the latter case, a particular device is required for
each adjusting step.
A still further object of the invention is, therefore, to provide a
color analyzer wherein memory circuits generate respectively an
output identical with the detector outputs generated for reference
colors and, when the device must be adjusted, said memory circuits
can be connected in place of the detectors and, when the device is
to be adjusted during manufacturing steps, said memory circuits can
be substituted for the detectors.
Furthermore, color analyzers prior to the present invention, when
applied for the measurement of an image on a fluorescent screen of
the color television set, were not able to detect effectively the
light energy of the image, since light emitted from the restricted
portion of the fluorescent screen is intermittent.
A still further object of the invention is, therefore, to provide a
color analyzer which detects effectively quantities of the primary
colors even if a light to be measured is emitted
intermittently.
BRIEF DESCRIPTION OF THE DRAWING
FIG. 1 is a graph illustrating an example of the relative spectral
distribution of three primary colors of a colored light emitted
from the fluorescent screen of a color television set;
FIG. 2 is a block diagram illustrating the construction of the
color analyzer in accordance with the present invention, wherein
the parts other than the optical system are simplification of
circuits as illustrated in FIGS. 6, 8, 10, 12, 15 and 20;
FIG. 3 is a graph showing an example of the spectral sensitivity of
the detectors in a color analyzer of the type shown in FIG. 2;
FIG. 4 is a chart illustrating spectral sensitivity;
FIG. 5 is a schematic diagram of another optical system including
three photoelectric elements;
FIG. 6 is a schematic diagram of a fundamental circuit of a color
analyzer of the present invention, wherein photoconductive cells
are used;
FIG. 7 is a block diagram illustrating an exchangeable calculating
circuit and a memory device according to the present invention,
which can be replaced for the corresponding portion in the circuits
as shown in FIGS. 6, 8, 10, 12, 15 and 20;
FIG. 8 is an embodiment of the circuit shown in FIG. 6;
FIG. 9 is a detailed diagram of the memory device in FIG. 7;
FIG. 10 is a schematic diagram of another fundamental circuit of a
color analyzer of the present invention, wherein photovoltaic cells
are used;
FIG. 11 is a characteristics diagram of the photovoltaic elements
in the color analyzer of FIG. 10;
FIG. 12 is an embodiment of the circuit in FIG. 10;
FIG. 13 is a simplified circuit diagram of a unit detecting portion
in the embodiment shown in FIG. 6;
FIG. 14 is a circuit diagram showing a modification of the unit
detecting portion in FIG. 13, wherein transistors are used;
FIG. 15 is a circuit diagram of another embodiment of the analyzer
including unit detecting portions of the construction shown in FIG.
14;
FIG. 16 is a graph showing the time variation characteristics of
luminance of light issuing from a limited portion of a fluorescent
screen of a color television tube;
FIG. 17 is a graph illustrating the output voltage characteristic
of the unit detecting portion of FIG. 18 when a photometric system
having the circuit of FIG. 18 measures luminance of light issuing
from a limited portion of a fluorescent screen of a color
television set;
FIG. 18 is a circuit diagram illustrating a modification of the
circuit of FIG. 14, wherein a condenser is provided in parallel
with a load resistor so that the output of the circuit becomes what
is illustrated in FIG. 17;
FIG. 19 is a circuit diagram of another embodiment formed by
modifying the circuit of FIG. 15 and having the circuit of FIG.
18;
FIG. 20 is an exterior perspective view of the color analyzer,
according to the present invention;
FIG. 21 is a perspective view showing the appearance of the memory
device used in the color analyzer of FIG. 20; and
FIG. 22 is a perspective view of the light receiving portion of the
color analyzer.
DETAILED DESCRIPTION
It is known that a color constituted by an additive mixture of
primary colors, such as the color of an image on the fluorescent
screen of a color television, varies as the rate of energy levels
or quantities of said primary colors. It is also known there is no
variation in the spectral distribution of the relative radiant
energy of each of the primary colors, and that there is only the
increase and decrease of said energy levels or quantities when said
energy levels or quantities are increased and decreased to obtain a
desired color. For instance, in the three primaries which
constitute the colors issuing from the fluorescent screen of a
color television tube, the spectral distribution of the relative
radiant energy of each of the primary colors does not vary
irrespective of any variation of the mixed colors. In other words,
when the maximum value of the relative radiant energy is assumed as
1 or 100, the distribution pattern of energy with respect to said
maximum value does not vary, or has a normalized distribution
characteristic irrespective of any variation of the mixed colors.
Each spectral energy distribution of the primary colors which
constitute a certain particular color can be represented as a
product of said spectral distribution of the relative radiant
energy (or a normalized spectral energy distribution) and the
coefficient (zero or certain positive value) representing said
energy level or quantity.
Assuming that a color to be measured consists of three primary
colors having spectral distributions of the relative radiant
energies B.sub..lambda., G.sub..lambda. and R.sub..lambda. as shown
in FIG. 1, and each coefficient of the energy levels of the primary
colors for the color to be measured is x.sub.B, x.sub.G and
x.sub.R, the spectral energy distribution W.sub..lambda. of the
color is given by the following equation as a sum of each spectral
energy distribution of the three primary colors.
W.sub..lambda. = x.sub.B.sup.. B.sub..lambda. + x.sub.G.sup..
G.sub..lambda. + x.sub.R.sup.. R.sub..lambda. (1)
when a color having the spectral energy distribution W.sub..lambda.
shown in equation 1 is detected by three detectors having spectral
sensitivities S.sub.B, S.sub.G and S.sub.R respectively as shown in
FIG. 3, the output C.sub.B, C.sub.G and C.sub.R of the detectors
can be given by the following equations. ##SPC1##
In practice, the spectral sensitivities and outputs of the
detectors can be obtained by an apparatus as shown in FIG. 5.
In the apparatus illustrated in FIG. 5, color input from the
optical lens system is applied to three photoelectric elements
P.sub.B, R.sub.G, and P.sub.R, each having associated therewith a
primary color filter F.sub.B, F.sub.G, or F.sub.R, respectively.
These filters and photoelectric elements cooperating therewith
represent spectral sensitivities S.sub.B, S.sub.G, and S.sub.R in
FIG. 3, or S.sub.W, S.sub.Y, and S.sub.O in FIG. 4.
Furthermore, each photoelectric element P.sub.B, P.sub.G P.sub.R is
connected to a corresponding indicating meter M.sub.B, M.sub.G or
M.sub.R through an electric circuit.
By selection of the characteristics of the optical lens system 5,
filters F.sub.B, F.sub.G and F.sub.R, the photoelectric elements
P.sub.B, P.sub.G, P.sub.R, the indicating meters M.sub.B, M.sub.G,
M.sub.R, and the electric circuits, the spectral sensitivity shown
in FIG. 3 and FIG. 4 can be achieved with the apparatus of FIG. 5.
Consequently, the outputs C.sub.B, C.sub.G and C.sub.R read by the
indicating meters M.sub.B, M.sub.G and M.sub.R, respectively, in
response to a color having the aforesaid spectral energy
distribution characteristics W.sub..lambda., satisfy the conditions
of equations 2 to 4.
Here, if the spectral sensitivity is set in such manner as
illustrated in FIG. 4, wherein the first curve S.sub.O corresponds,
for instance, to the spectral energy distribution R.sub..lambda.,
the second curve S.sub.Y corresponds to the spectral energy
G.sub..lambda. and extends over the spectral band of the first
curve S.sub.O, and the third curve S.sub.W in which three primary
colors are involved, the energy introduced into the detectors
having spectral sensitivities of S.sub.W and S.sub.Y will become
larger than that of S.sub.B and S.sub.G in FIG. 3, so that
amplified outputs can be obtained. This means that the detectors
having spectral sensitivities as shown in FIG. 4 are suitable for
the measurement of a color having weak energy.
Since the coefficients x.sub.B, x.sub.G and x.sub.R are represented
by zero or a positive number for showing the energy levels or
quantities of the primary colors as set forth hereinbefore and are
not dependent on the wave length .sub..lambda., and since the
spectral distributions of relative radiant energy B.sub..lambda.,
G.sub..lambda. and R.sub..lambda. and the spectral sensitivities
S.sub.B, S.sub.G and S.sub.R are functions of the wave length
.sup..lambda. as shown in FIGS. 1 and 3 by the curves varying in
accordance with the wave length .sub..lambda., the following
equations can be derived by substituting equation 1 in equations 2
to 4. ##SPC2##
the equations 5 to 7 can be simplified as follows:
C.sub.B = A.sub.11.sup.. x.sub.B + A.sub.12.sup.. x.sub.G +
A.sub.13.sup.. x.sub.R (9)
c.sub.g = a.sub.21.sup.. x.sub.B + A.sub.22.sup.. x.sub.G +
A.sub.23.sup.. x.sub.R (10)
c.sub.r = a.sub.31.sup.. x.sub.B + A.sub.32.sup.. x.sub.G +
A.sub.33.sub.. x.sub.R (11)
herein, the spectral sensitivities S.sub.B, S.sub.G and S.sub.R are
always constant, and the spectral distribution of the relative
radiant energies of the primary colors do not vary insofar as said
each spectral distribution is that of the color issuing from the
identical luminosity (which is, for instance, the fluorescent
screen of a color television) as stated above. Therefore each
integral term of equations 5, 6 and 7, that is A.sub.ij (i=1-3,
j=1-3) in equations 9, 10 and 11, can be considered as the constant
corresponding to said luminosity.
Thus, the output levels of the color analyzer C.sub.B, C.sub.G,
C.sub.R can be given by the following matrix expression:
C.sub.B = A.sub.11 A.sub.12 A.sub.13 x.sub.B C.sub.G A.sub.21
A.sub.22 A.sub.23 x.sub.G . . . (12) C.sub.R A.sub.31 A.sub.32
A.sub.33 x.sub.R
by taking an inverse, the primary color output levels x.sub.B,
x.sub.G, and x.sub.R from a color television cathode ray tube can
be expressed in the following manner:
x.sub.B = A.sub.11 A.sub.12 A.sub.13 C.sub.B x.sub.G A.sub.21
A.sub.22 A.sub.23 C.sub.G . . . (13) x.sub.R A.sub.31 A.sub.32
A.sub.33 C.sub.R
by expanding the matrix equation 13, the following equations are
obtained:
x.sub.B = D.sub.11 .sup.. C.sub.B + D.sub.12 .sup.. C.sub.G +
D.sub.13 .sup.. C.sub.R (14)
x.sub.G = D.sub.21 .sup.. C.sub.B + D.sub.22 .sup..<. C.sub.G +
D.sub.23 .sup.. C.sub.R (15)
x.sub.R = D.sub.31 .sup.. C.sub.B + D.sub.32 .sup.. C.sub.G +
D.sub.33 .sup.. C.sub.R (16)
in equations 14, 15 and 16, the coefficients D.sub.ij (i=1-3,
j=1-3) represent individual terms of the inverse matrix of the
aforesaid matrix of the equation 13 having coefficients A.sub.ij.
For instance, the coefficient D.sub.11 can be expressed in terms of
A.sub.ij as follows:
D.sub.11 =A.sub.22 A.sub.23 A.sub.11 A.sub.12 A.sub.13 A.sub.32
A.sub.33 A.sub.21 A.sub.22 23 23 . . . (17) A.sub.31 A.sub.32
A.sub.33
in other words, D.sub.11 is a function of A.sub.ij (i=1-3, j=1-3),
and accordingly D.sub.11 is a constant, because all of A.sub.ij are
constants, as pointed out above. Similarly, it is easily seen that
each of the coefficients D.sub.ij (i=1-3, j=1-3) is constant.
Therefore, provided that the denominator of the right side of
equation 17 are known, the energy levels or quantities of the
primary colors can be obtained from the outputs of the detectors by
solving matrix equation 13, even if the spectral distributions of
relative radiant energy of each of the primary colors overlap in
part with each other and also the spectral distribution in each of
the primary colors do not correspond with the spectral sensitivity
of the detector.
The principles related to the CIE chromaticity indication in the
color analyzer according to the present invention, will next be
described. The spectral energy distribution W.sub..lambda., as
defined in equation 1, can be rewritten as follows, according to
the CIE method: ##SPC3##
In equations 18 to 20 the term X, Y and Z represent tristimulus
values of the CIE system with which any visible color can be
specified in terms of the quantities of these stimuli and x, y and
z represent spectral tristimulus values of the CIE system and
satisfy the so-called Luther Condition.
x = X/ (X + Y + Z) (21)
y = X/ (X + Y + Z) (22)
the CIE chromaticity indication can be achieved as follows. Since,
as pointed out above, the quantity of the primary colors x.sub.B,
x.sub.G, and x.sub.R are independent of the wave length, the
following equations can be easily derived by substituting equation
1 in equations 18, 19 and 20: ##SPC4##
In the equations 23 to 25, B.sub..lambda., G.sub..lambda. and
R.sub..lambda. are spectral distributions of the relative radiant
energy or normalized spectral energy distributions, and the
spectral distributions of the spectral tristimulus values have
fixed characteristics which have been determined by the CIE system,
and integrals of them are constant. Accordingly, each integral term
in the equations 23 to 25 is constant, and such equations can be
simplified as follows:
X = C.sub.11.sup.. x.sub.B + C.sub.12.sup.. x.sub.G +
C.sub.13.sup.. x.sub.R (26)
y = c.sub.21.sup.. x.sub.B + C.sub.22.sup.. x.sub.G +
C.sub.23.sup.. x.sub.R (27)
z = c.sub.31.sup.. x.sub.B + C.sub.32.sup.. x.sub.G +
C.sub.33.sup.. x.sub.R (28)
by substituting equations 14, 15 and 16 in the equation 26, one
achieves:
X = (C.sub.11.sup.. D.sub.11 + C.sub.12.sup.. D.sub.21 +
C.sub.13.sup.. D.sub.31 ).sup.. C.sub.B
+ (c.sub.11.sup.. d.sub.12 + c.sub.12.sup.. d.sub.22 +
c.sub.13.sup.. d.sub.32 ).sup.. c.sub.g
+ (c.sub.11.sup.. d.sub.13 + c.sub.12.sup.. d.sub.23 +
c.sub.13.sup.. d.sub.33 ).sup.. c.sub.r (29)
in the equation 29, the coefficients of the term C.sub.B, C.sub.G
and C.sub.R are constant and, hence, it can be simplified into the
following equation:
X = E.sub.11.sup.. C.sub.B + E.sub.12.sup.. C.sub.G +
E.sub.13.sup.. C.sub.R (30)
similarly, equations 27 and 29 can be rewritten as follows:
Y = E.sub.21.sup.. C.sub.B + E.sub.22.sup.. C.sub.G +
E.sub.23.sup.. C.sub.R (31)
z = e.sub.31.sup.. c.sub.b + e.sub.32.sup.. c.sub.g +
e.sub.33.sup.. c.sub.r (32)
as described in the foregoing, the quantity of the primary colors
of an arbitrary color from a television cathode ray tube can be
detected by using the output levels C.sub.B, C.sub.G and C.sub.R
from a detector having different spectral sensitivities for each
primary color, as shown by equations 14, 15 and 16. Furthermore,
from the quantity of the primary colors x.sub.B, x.sub.G and
x.sub.R, one can derive the quantities X, Y and Z of the CIE
method, as shown by equations 26, 27 and 28. Of course, the
quantities X, Y and Z can be directly derived from the primary
color output levels C.sub.B, C.sub.G and C.sub.R, as shown by
equations 30, 31 and 32. With the quantities X, Y and Z thus
determined, the CIE chromaticity can be calculated by the equations
21 and 22.
Thus, it will be understood that the quantities x.sub.B, x.sub.G
and x.sub.R of the primary colors can be obtained from the outputs
C.sub.B, C.sub.G and C.sub.R of the detectors by solving the
equation 13 and the tristimulus values X, Y and Z of the CIE system
can be independently obtained by solving the equations 26, 27 and
28. According to the invention, the matrix calculation is carried
out by an electric circuit to obtain the quantities of the primary
colors from the output of said electric circuit. In other words, in
FIG. 2 showing the principle of the invention, the light to be
measured is introduced through the optical system into the light
receiving portion including a detecting means (Note- "detecting
means" is used for indicating the circuit of FIG. 14, the circuits
D.sub.B, D.sub.G, D.sub.R in FIGS. 6, 15 and 19, the circuit of
FIG. 18 having a light receiving member such as photoconductive
cells or photovoltaic cells, so that said detecting means issue
photometric output signals C.sub.B, C.sub.G and C.sub.R which
correspond with each of the spectral sensitivities respectively.
Then, said signals are introduced into the electric matrix circuit
to carry out electrically therein a calculation of equation 13. The
outputs of the electric matrix circuit are read by an indicating
meter or the like.
FIG. 6 illustrates a fundamental circuit of the present invention,
which includes cadmium sulfide (CdS) cells P.sub.B, P.sub.G and
P.sub.R as light receiving members before each of which a color
filter is respectively disposed as shown in FIG. 5. It will next be
explained how the calculation of equation 13 or equations 14, 15,
16 is carried out by the circuit of FIG. 6.
Upon the application of an arbitrary color, of which spectral
energy distribution characteristics W.sub..lambda. are given by
equation 1, each CdS cell produces an output current C.sub.B,
C.sub.G, or C.sub.R, depending on the spectral sensitivity S.sub.B,
S.sub.G, or S.sub.R, in the direction as depicted by the arrow in
the figure. The outputs C.sub.B, C.sub.G and C.sub.R satisfy the
conditions of equations 2, 3 and 4. Each load resistor R.sub.o has
a resistance value considerably smaller than that of each CdS cell.
The junctions between each pair of series connected loading
resistors R.sub.o are grounded. As the output current flows through
the circuit comprising batteries E.sub.B, E.sub.G and E.sub.R, the
CdS cell P.sub.B, P.sub.G or P.sub.R and the two load resistors
R.sub.o, a positive voltage is produced at the junction between the
detector and one load resistor R.sub.o, as shown by the (+) mark,
while a negative voltage is produced at the junction between the
other load resistor R.sub.o and the batteries, as shown by the (-)
mark. The magnitude of the voltages thus produced is proportional
to the intensity of the output from the CdS cell. If the resistance
values of resistors R.sub.i (i=1-9) are selected to be much larger
than that of loading resistor R.sub.o, the magnitude of the current
through an indicating meter, for instance meter M.sub.B, is given
by the following equation:
I.sub.B = (R.sub.0 /R.sub.1) C.sub.B - (R.sub.0 /R.sub.2) C.sub.G +
(R.sub.O /R.sub.3) C.sub.R (33)
similarly, the magnitude of the currents I.sub.G, I.sub.R through
other indicating meters M.sub.G, M.sub.R can be expressed as
follows:
I.sub.C = (R.sub.0 /R.sub.4) C.sub.G - (R.sub.0 /R.sub.5) C.sub.R -
(R.sub.0 /R.sub.6) C.sub.B (34)
i.sub.r = (r.sub.0 /r.sub.7) c.sub.r + (r.sub.0 /r.sub.8) c.sub.b -
(r.sub.0 /r.sub.9) c.sub.g (35)
in equations 33, 34 and 35, if the coefficients of the output
currents C.sub.B, C.sub.G, C.sub.R are denoted by G.sub.ij (i=1-3,
j=1-3), then those equations can be simplified as follows:
I.sub.B = G.sub.11.sup.. C.sub.B + G.sub.12.sup.. C.sub.G +
G.sub.13.sup.. C.sub.R (36)
i.sub.g = g.sub.21.sup.. c.sub.b + g.sub.22.sup.. c.sub.g +
g.sub.23.sup.. c.sub.r (37)
i.sub.r = g.sub.31.sup.. c.sub.b + g.sub.32.sup.. c.sub.g +
g.sub.33.sup.. c.sub.r (38)
in a comparison of equations 36, 37, 38 with the preceding
equations 14, 15, 16, if the conditions of
G.sub.ij = D.sub.ij (i=1-3, j=1-3) (39)
are satisfied, then one obtains the relationships I.sub.B =x.sub.B,
I.sub.G =x.sub.G, I.sub.R =x.sub.R.
The resistance values of the resistors Ri (i=1-9) to fulfill the
relations of equation 39 can be obtained through the following
steps: firstly, the spectral distribution characteristics of the
relative radiant energy B.sub..lambda., G.sub..lambda.,
R.sub..lambda. and spectral sensitivity characteristics of the
detectors S.sub.B, S.sub.G, S.sub.R are determined by means of
known devices; then these results are inserted into equation 8 so
that A.sub.ij (i=1 - 3), j=1 - 3) are calculated; then D.sub.ij
(i=1 - 3, j=1 - 3) are determined by calculating equation 17; then
the values of D.sub.ij (i=1 - 3, j=1 - 3) obtained are inserted
into the right side of equation 39 in the left side of which are
substituted the fractions of R.sub.o and Ri (i=1 - 9) as shown in
equations 33, 34, 35 to solve equation 39.
Such steps are, however, complicated and troublesome, and therefore
the resistance values of resistors Ri (i=1 - 9) are obtained by
conventional methods as described hereinafter. It will be noted
that the following is a method for determining resistance values
for the measurement of a white chart pattern appearing on the
fluorescent screen of a color television tube. However, the method
is also applicable for the measurements of other similar patterns
and the like for other similar apparatus.
For determining said resistance, firstly, the white chart pattern
is generated on the fluorescent screen of the color television
which is left in its original condition (that is, the condition in
which the input to the television set is not adjusted), and then a
standard pattern having a standard white color which has a color
temperature in the order of D6,500.degree. or 9,300.degree.C. + 27
MPCD is generated adjacent said white chart pattern. For instance,
a thin light reflecting plate is arranged adjacent said chart
pattern and is illuminated by a projector so as to generate said
standard white color thereon. Then, the two adjacent patterns are
compared with one another by the naked eye or by a suitable device
to adjust the gain for each of the primary colors in the color
television to match the color of the chart pattern with that of the
standard pattern. After the matching operation, the device for
generating the standard white color and including the thin plate
and the projector is removed.
Then, the light receiving part of the color analyzer is set
opposite the chart pattern of the adjusted fluorescent screen, and
then there is performed an operation for generating one of the
primary colors. Said operation is conducted by opening the circuits
for generating the other two primary colors. Assuming that the
firstly generated primary color is red, the color analyzer, which
receives said red color only, is adjusted as to its values of the
resistors R.sub.5 and R.sub.3 (FIG. 6) so that the meters MG and
M.sub.R indicate zero on the scale. The green color is then
generated on the chart pattern, and the values of the resistors
R.sub.2 and R.sub.9 are adjusted so that the meters M.sub.B and
M.sub.R indicate zero on the scale. Lastly, the blue color is
generated on the chart pattern, and the values of the resistors
R.sub.8 and R.sub.6 are adjusted so that the meters M.sub.R and
M.sub.G indicate zero on the scale.
Next, the entire circuits for the three primary colors are closed
for generating the standard white color on the chart pattern, and
values of the resistors R.sub.1, R.sub.4 and R.sub.7 are adjusted
so that the meters M.sub.B, M.sub.G and M.sub.R incidate
respectively one on the scale (unit) with respect to said standard
white color.
Thus, the resistance values of the resistors Ri (i=1 - 9) are once
adjusted. However, since the values of the resistors R.sub.1,
R.sub.4 and R.sub.7 are not adjusted sufficiently in a prior
operation, when the meter of one of the primary colors indicates
zero on the scale, the meters for other two primary colors do not
indicate zero on the scale (for instance, the meters M.sub.B and
M.sub.G do not indicate zero on the scale when the meter M.sub.R
indicates zero). Such unevenness is corrected by adjusting once
more each of the resistors by generating each of the primary colors
on the chart pattern in the order of red, green, and blue so that
the values of the resistors R.sub.1, R.sub.4 and R.sub.7 are
adjusted once more whereafter each meter indicates one on the scale
for the standard white color. Such correction can be repeated two
or three times.
Here, if the spectral sensitivity of the detectors is selected as
what is illustrated in FIG. 3, the deflection of the meter M.sub.B
shall be effected mainly by the resistor R1, and the resistor Rw
and Re serve only for a minor adjustment. This means that the
resistance of the resistor R1 is set sufficiently smaller than that
of the resistors R2 and R3. Similarly, the resistance of the
resistors R4 and R7 are set sufficiently smaller than that of the
other corresponding resistors. Thus the adjustment of the circuit
is carried out primarily by the three resistors R1, R4 and R7.
The manner for determining exact values for the resistors is
described in the above. When it is desired to know rough values for
the resistors for judging an adjusting range thereof, a known
circuit calculation can be used by measuring the values C.sub.B,
C.sub.G, C.sub.R of the output current for the standard white
color, determining the values of the output current required for
oscillating the pointer of each of the meters over one unit of the
scale (this can be done by utilizing a meter applicable in said
values of the output current), and setting the value of R.sub.o to
the proper one.
The color analyzer having the electric matrix circuit thus
calibrated can adjust, for each of the primary colors, the gain of
a color television set in a manner similar to that used in the
calibration by generating the white chart pattern on the
fluorescent screen, reading the meters 12.sub.B, 12.sub.G and
12.sub.R to determine aberrations of each of the values of the
three primary colors which constitute said white color from the
basic value (which is, for instance, represented by one on the
scale of the meter), and adjusting each of the values of the three
primary colors to agree with said basic value.
However, as can be seen from equation 8, the values of the term
A.sub.ij (i=1-3, j = 1-3) vary depending on the spectral
distribution characteristics of the fluorescent substances used for
the primary colors in each color television cathode ray tube. In
other words, the values of the terms D.sub.ij (i=1-3, j=1-3) also
change with the aforesaid variation of the cathode ray tube
characteristics, as seen from equations 14, 15 and 16. In fact,
after carrying out a number of tests on various kinds of color
television sets, it has been determined that there are considerable
differences in primary color spectral characteristics among
different fluorescent substances. One calibration as mentioned
above is sufficient for one type of color television receiving set,
but if it is desired to measure the primary color radiant energy
levels of a plurality of different types of color television
receiving sets, said calibration should be made each time the kind
of fluorescent screen to be measured is changed. According to tests
which have been carried out for calibration, it is necessary to
prepare a particular color television set which is adapted to
radiate reference or standard colors and, for measurement of
various kinds of color television sets, each television set
requires a standard color radiating device having same
characteristics as those of such television set.
In order to overcome such difficulties, another color analyzer
according to the present invention, as shown in FIG. 7, uses
calculating circuits or the matrix circuits are made in the form of
interchangeable blocks to be detachably coupled to the main body of
the analyzer, and a plurality of matrix circuits are provided which
are selected in accordance with the subjects to be measured. Each
of the aforesaid matrix circuits is pre-calibrated in the manner
set forth above to match with different primary color spectral
energy distribution characteristics of the fluorescent substance of
various color television cathode ray tubes, so as to satisfy the
conditions of equations 14, 15 and 16 for each cathode ray tube.
With such pre-calibrated matrix circuits, measurement of colors
emanating from different color television cathode ray tubes can be
made simply by interchanging the matrix circuits for each cathode
ray tube to be measured.
It should be noted that a plurality of such pre-calibrated matrix
circuits can be mounted on a color analyzer of the present
invention, in conjunction with a selection switch which can be
mounted on the main body thereof, so that the same effect as said
interchanging of the patchable matrix circuits can be achieved by
turning the selective switch to connect in a desired matrix
circuit. In FIG. 6, such matrix circuits are designated by being
enclosed with dotted lines.
The memory device will next be described. As explained in the
foregoing, without referring to any memory device, the color
analyzer of the present invention can be calibrated by causing a
color television cathode ray tube being measured to emanate one
primary color light at a time and adjusting the calculating or
matrix circuit of the analyzer to produce only those output levels
corresponding to said emanated primary color at the final stage
indicating meters thereof. For instance, referring to equations 9,
10 and 11, if only a quantity of the primary color x.sub.B is
produced, the quantity of each primary colors can be given by
x.sub.B =1, x.sub.G =x.sub.R -0.
By substituting such relationship in equations 9, 10 and 11, the
output levels from each detector or light receiving portion are
given by
C.sub.B =A.sub.11, C.sub.G =A.sub.21, C.sub.R =A.sub.31
Similarly, when only one unit primary color output level x.sub.G or
x.sub.R is radiated from the cathode ray tube being measured, the
corresponding output levels from the detectors will be A.sub.12,
A.sub.22, A.sub.32, or A.sub.13, A.sub.23, A.sub.33 respectively.
In actual calibration, for instance in the circuit of FIG. 6, as
each unit primary color output emanates from the cathode ray tube
being measured, electric currents equivalent to the aforesaid
corresponding terms A.sub.ij (i=1-3, j=1-3) flow through each CdS
cell circuit. Therefore, there are made preliminary arrangements of
members, with respect to which outputs may regularly be generated
corresponding to said A.sub.ij (i=1-3, j=1-3); that is, such
members as are adapted for memorizing outputs of each of the light
receiving members that are generated when said unit primary colors
appear one by one on the fluorescent screen of the color
television. Such members shall each hereinafter be referred as a
memory member. Such memory member (which corresponds, for instance,
with resistor groups in FIG. 9) has no output in and of itself, but
output current flows therethough when the member is connected to a
certain power source. Thus, the same effects of correction as in
the case where the standard television is used can be achieved by
substituting one after another the memory members respectively
corresponding to Ai1 (i=1-3) Ai2 (i=1-3) and Ai3 (i=1-3) for the
light receiving member, and generating outputs corresponding to
A.sub.ij (i=1-3, j=1-3) from each of the detecting means. In this
case, if the light receiving elements are, for instance, the
photoconductive cells shown in FIG. 6, such resistors may be usable
as the memory elements as having resistance values obtained by
measuring the resistance values of each of the photoconductive
cells as each of the primary color appears on the fluorescent
screen when the calibration is, as mentioned above, done by
generating the standard white color of color television on the
fluorescent screen.
As shown in equation 8, the values of the constants A.sub.ij
(i=1-3, j=1-3) depend both on the spectral energy distribution
characteristics of each primary color in the light from the
fluorescent screeen of the color television set to be measured and
on the spectral sensitivity characteristics of the detectors and,
accordingly, as the spectral energy distribution of the phosphor
varies, the values of said constants also vary. In other words,
with a plurality of memory devices in the present invention, which
are present for each unit primary color spectral energy
distribution of phosphors of different color television cathode ray
tubes, the color analyzer of the present invention can be
calibrated, without having the particular cathode ray tube to be
measured, simply by substituting the thusly present memory devices
for the light receiving members of the detecting means.
FIG. 9 shows one such memory device for CdS cells. Herein, the
resistance values of various resistors are so selected that upon
proper actuation of the gang-operated change-over switches 13, 14
and 15, electric currents corresonding to the aforesaid constants
A.sub.ij (i=1-3, j=1-3) flow through the respective circuits.
By providing a plurality of such memory devices mounted on the
color analyzer, together with a proper selector switch means (not
shown) to make proper selection of the memory devices for each
cathode ray tube to be measured, the operation of interchanging the
memory device for different cathode ray tubes can be dispensed
with.
As pointed out in the foregoing, the memory device and the
calculating circuit or matrix circuit correspond to the terms
A.sub.ij (i=-3, j=1-3) as defined in equation 8 and to the terms
D.sub.ij (i=1-3, j=1-3) as defined in equations 14, 15 and 16.
Thus, the principles of such memory device and the calculating
circuit can be used for the calculation of constants related to the
CIE chromaticity, such as C.sub.ij (i=1-3, j=1-3) as defined in
equations 26 and 28, as well as the terms E.sub.ij (i=1-3, j=1-3),
as defined in equations 30, 31 and 32 (see FIGS. 10,12, 15 and
20).
Moreover, the unit quantity for the spectral energy distribution
W.sub..lambda. of a color from the light source to be measured, as
shown in equation 1, can be selected at any level at will, the
values of the terms A.sub.ij (i=1-3, j=1-3), as defined in equation
8, depending on the unit color level. The values of D.sub.ij
(i=1-3, j=1-3) also vary depending on A.sub.ij (i=1-3, j=1-3), In
other words, the aforesaid memory device and the calculating
circuit means can respond to any A.sub.ij (i=1-3, j=1-3) and
D.sub.ij (i=1-3, j=1-3) and, accordingly, they can be used for
storing and reproducing any color from a light to be measured. It
is also possible to attach means for storing luminous energy to the
aforesaid memory device, or to mount the aforesaid memory device
directly on the main body of the color analyzer, for the sake of
checking the calculating circuit. Similarly, checking of the light
receiving portion, or detectors, can be facilitated by directly
mounting both the aforesaid memory device and the calculating
circuit on the main body of the color analyzer.
With reference to FIG. 13, showing the electric circuit related to
a detector 9 of FIG. 6 while neglecting one of the loading
resistors R.sub.o, there is the following relationship between the
output voltage E.sub.o, the internal resistance R.sub.p of the
photoelectric detector (e.g., detector 9) the power source voltage
E, and the load resistance R.sub.o :
E.sub.o = [R.sub.o /(R.sub.p + R.sub.o)].sup.. E
As seen, the output voltage E.sub.o is not exactly inversely
proportional to the internal resistance of the detector 9. Thus,
even when the gradient characteristics of the photoelectric
element, or the so-called .gamma., is set at unity (1), the
response of the output voltage to the incident light energy is not
linear. This is a significant disadvantage of the circuit
arrangement of FIG. 13. In the detector circuit mentioned above
with reference to FIG. 6, the load resistance R.sub.o is selected
to be negligibly small, compared with the internal resistance
R.sub.p of the photoelectric element, and only that portion in
which the resistance of the photoconductive cell is so high that
the output of the detecting means is approximately proportional to
the incident light energy has been used. Such usage of the
photoelectric element is disadvantageous for the photoelectric
element.
On the other hand, in the embodiment shown in FIG. 14, if the
resistances R.sub.10 and R.sub.11 are so chosen as to make the base
current i.sub.B of transistor T.sub.1 negligibly small compared
with current i.sub.2 through the resistance R.sub.11, then there is
the following relation between the voltage E.sub.2 across the
resistance R.sub.11 and the power source voltage E:
E.sub.2 = [R.sub.11 /(R.sub.10 + R.sub.11)].sup.. E (41)
if the base-emitter voltage of the transistor T.sub.1 is designated
as E.sub.BE and the voltage across the photoelectric element P is
represented as E.sub.p, then the voltage E.sub.2 across the
resistance R.sub.11 can be expressed as follows in terms of the two
voltages:
E.sub.2 = E.sub.BE + E.sub.p (42)
The base-emitter voltage of a transistor is in the order of about
0.3 V for germanium transistors and about 0.6 V for silicon
transistors and, hence, if the voltage E.sub.p across the
photoelectric element P is selected to be sufficiently large and in
excess of 0.6 V, the equation 42 can be simplified as follows:
E.sub.2 = E.sub.p (43)
By substituting 41 for 43:
E.sub.p = [R.sub.11 /(R.sub.10 + R.sub.11) ].sup.. E (44)
it is apparent from equation 44 that the voltage E.sub.p across the
photoelectric element P is independent of the internal resistance
R.sub.p thereof but depends on the values of R.sub.10, R.sub.11 and
E. The current i.sub.p through the photoelectric element P is given
by
i.sub.p = E.sub.p /R.sub.p = (1/R.sub.p) .sup.. [R.sub.11
/(R.sub.10 + R.sub.11)].sup.. E (45)
as is well known, there are the following relationships between
emitter current i.sub.p, the base current i.sub.B, and the
collector current i.sub.c of the transistor T.sub.1.
i.sub.p = i.sub.B + i.sub.c (46)
i.sub.c = .rho..sup.. i.sub.B
Since P, the current amplification factor, is large, i.sub.B is
negligibly small compared with i.sub.c. Thus, equation 46 can be
further simplified as follows:
i.sub.p .apprxeq. i.sub.c (47)
Accordingly, the output voltage E.sub.o of the circuit of FIG. 14
can be expressed as
E.sub.o = i.sub.p.sup.. R.sub.o = i.sub.c.sup.. R.sub.o (48)
By substituting 45 in 48:
E.sub.o = [R.sub.11.sup.. R.sub.o /(R.sub.10 + R.sub.11)] .sup..
(E/R.sub.p) (49)
Since the resistances R.sub.o, R.sub.10 and R.sub.11 are all
constants, equation 49 can be simplified to
E.sub.o = (K/R.sub.p) .sup.. E (50)
wherein:
K = [R.sub.11 .sup.. R.sub.o /(R.sub.10 + R.sub.11)]
Thus, the current i.sub.p through the photoelectric element P
depends only on the internal resistance R.sub.p thereof, and the
influence of the load resistance R.sub.o on the linearity between
the current i.sub.p and the output voltage E.sub.o is negligible.
The output voltage E.sub.o of the circuit of FIG. 14 is inversely
proportional to the internal resistance R.sub.p of the
photoelectric element P.
Therefore, if a photoelectric element, having a characteristic such
that a ratio (.gamma.) of the intensity of the incident light to
the resistance characteristic is one, is utilized, an output
current in proportion to the intensity of the energy of the light
impinging on the photoelectric element is impressed across the
resistor R.sub.o irrespective the resistance value of the load
resistance R.sub.o. If the resistance value of said load resistance
R.sub.o is varied, only the constant of proportion in said
proportional relation varies.
FIG. 15 shows the circuit diagram of an embodiment of the present
invention, which incorporates the circuit of FIG. 2, together with
calculating circuit and indicating meters M.sub.B, M.sub.G, and
M.sub.R similar to those of the preceding embodiments.
As well known in the art, in any television receiving sets
currently available, received images are visualized by scanning the
screen of a cathode ray tube with electron beams. Accordingly, each
spot of the cathode ray tube screen has a luminance varying as
shown in FIG. 16, despite the fact that the screen may appaer to
have a constant luminance to human visual acuity. In the known
color measuring apparatus for setting standard colors of color
television receiving sets, the luminance of each spot of the
cathode ray tube screen is converted into photoelectric currents by
three different detectors to produce corresponding output voltages
by means of three output circuits (to be referred to as a "unit
output portion" hereinafter), each having a circuit construction as
shown in FIG. 14 (see also FIG. 15). If unit output portions having
quick response characteristics, such as photoelectric elements with
small time constants, are used in order to detect quick changes in
the color being measured, then the output voltage characteristic of
such unit output portions in response to the aforesaid spot
luminance of the cathode ray tube screen is as shown in dotted
lines in FIG. 17. The pointer of an indicating meter of the color
measuring instrument shows the average value E of the illustrated
output voltage. Compared with the thusly indicated average voltage
E, the actual maximum voltage of the output is considerably higher.
If it is desired to produce a larger swing of the pointer of the
indicating meter for showing such maximum voltage, a higher power
source voltage is necessary together with an increased
collector-emitter voltage and an increased base voltage for each
transistor T.sub.1, which results in raised ratings for the voltage
and current capacity of various parts of the apparatus. With such
raised voltage and current ratings of various parts, the efficiency
of the apparatus is decreased, at least with respect to the values
indicated by the apparatus. Thus, known color measuring apparatuses
have various disadvantages.
Said disadvantage can effectively be overcome by an improved color
analyzer in which capacitors are incorporated into each unit output
portion in parallel with a loading resistor to improve the output
voltage characteristics thereof.
FIG. 19 shows a thusly modified unit output portion, usable in the
color analyzer of the present invention. A transistor T.sub.1 is
connected to a photoelectric element P at the emitter thereof and
to a load resistor R.sub.L at the collector thereof, and a
capacitor 19 is connected in parallel to the load resistor R.sub.L,
with such construction of the unit output portion, the output
voltage characteristics become as shown in solid lines in FIG. 17.
This solid line characteristic has substantially the same average
value as that of the dotted line for known color measuring
apparatus, but the difference between the maximum value and the
average value of the solid line characteristic is greatly reduced
compared with that of the dotted line.
FIG. 19 shows a circuit diagram of another color analyzer according
to the present invention, which uses the unit output portions shown
in FIG. 18, as well as calculating circuits and indicating
circuits. In this arrangement, the aforesaid disadvantages of known
color measuring apparatus are overcome.
It should be noticed here that any of the preceding embodiments of
the present invention e.g., those illustrated in FIGs. 8 and 12,
have capacities for the purpose as mentioned in the above.
In applying the color analyzer of the present invention, if the
energy of the light source to be measured is low, and accordingly
the output levels C.sub.B, C.sub.G and C.sub.R of the color
analyzer as defined in equations 2, 3 and 4 are small, it is
possible to raise the output levels C.sub.B, C.sub.G and C.sub.R
from each detector of the color analyzer by, for instance,
modifying the sensitivity region S.sub.B of FIG. 3 to cover all the
primary unit levels B.sub..lambda., C.sub..lambda. and
R.sub..lambda. of the light source being measured by using a filter
or the like, while modifying the sensitivity region S.sub.G to
cover G.sub..lambda. and R.sub..lambda., with the sensitivity
region S.sub.R to cover R.sub..lambda. alone. Thereby, the
construction of each element of the aforesaid calculating circuit,
or matrix circuit, is made simpler, and the final output indicating
the quantity of the primary colors x.sub.B, x.sub.G and x.sub.R
from the light source can be achieved.
On the contrary, if the light intensity of the light source to be
measured is relatively high to produce high output levels C.sub.B,
C.sub.G and C.sub.R from the color analyzer of the invention, the
individual primary color portions of the spectral sensitivity of
the color analyzer can be so modified as to avoid mutual
interference between them. For instance, the sensitivity region
S.sub.B of the spectral sensitivity of the detector, as shown in
FIG. 3, covers only one primary unit output B.sub..lambda. from the
light source being measured by means of a filter or the like and,
similarly, the sensitivity regions S.sub.G and S.sub.R cover the
primary unit outputs G.sub..lambda. and R.sub..lambda.. Thereby,
the value of the terms D.sub.ij (i=1-3, j=1-3) as defined in
equations 14, 15 and 16, can be minimized so that the construction
of each element of the aforesaid calculating circuit is made
simpler, and the final output from the color analyzer, which
represents the quantity of the primary colors x.sub.B, x.sub.C and
x.sub.R from the light source being measured, can be generated.
FIG. 10 shows another circuit of the present invention, based on
equations 14 to 16. In this figure, each detector comprises a
silicon blue cell (SBC) element, and each such element has linear
light-current characteristics under short circuit conditions, as
depicted by the straight line I in FIG. 11. In other words, if the
output current from such detector element and the amount of the
incident light are represented by i and E, respectively, then there
is the relation of i=K.sup.. E, K being a constant peculiar to each
element. When the element is loaded, its light-current
characteristics becomes i=K.sup.. E.sup..epsilon., .epsilon. being
a variable depending on the intensity of the incident light and the
loading impedance. Such loaded characteristics of the element are
shown by curves II in FIG. 11. In this embodiment, it is intended
to use output currents proportional to the intensity of the
incident light and, hence, the load impedance to each element is
adjusted to be zero in the fundamental circuit, as depicted in FIG.
10. For example, in the case of the detector P.sub.B, one terminal
of the element P.sub.B is connected with one input terminal of the
differential amplifier 16, and the output voltage from the
differential amplifier is fed back to said input terminal thereof
through a feedback resistance R.sub.1 to make the equivalent load
impedance of the element P.sub.B zero. Here, the equivalent input
impedance of the differential amplifier is selected to be infinity,
e.g. by using field effect transistors (FET) and, hence, the two
end terminals of the detector element are at the same potential.
Similarly, the equivalent loading impedances for the detector
elements P.sub.G, P.sub.R are made zero by means of feedback
resistors R.sub.2, R.sub.3 across the differential amplifiers 17,
18.
In FIG. 10, points a', b' and c' are generally at different
potentials. More particularly, the potentials at the points a', b'
and c' depend respectively on the magnitudes of the current passing
through the feedback resistors R.sub.1, R.sub.2 and R.sub.3. On the
other hand, the potentials at the points a, b and c are similar to
one another, since the potentials at the two end terminals of the
detector are the same. Consequently, the voltage impressed across
the resistance r.sub.1 is equal to the potential at the point b',
and the other resistance r.sub.2, r.sub.1.sub.', r.sub.1.sub." are
similarly impressed with a voltage which is the same as the
potential at the points c', a' or b'. When a color having the
spectral energy distribution characteristics W.sub.307, as defined
in equation 1, is applied to the detector elements P.sub.B,
P.sub.G, and P.sub.R , they produce output currents C.sub.B,
C.sub.G and C.sub.R as defined by equations 2, 3 and 4. The output
currents flow through resistors R.sub.i (i=1-3) r.sub.i (i=1-2),
r.sub.i.sub.' (i=1-2) and r.sub.i.sub." (i=1-2). If the currents
through the resistors R.sub.1, R.sub.2 and R.sub.3 are represented
by I.sub.B, I.sub.G and I.sub.R respectively, then I.sub.B can be
given by the following equations:
I.sub.B = C.sub.B - (R.sub.2 /r.sub.1) .sup.. I.sub.G - (R.sub.3
/r.sub.2) .sup.. I.sub.R (51)
in equation 51, the second term represents the current through the
resistor r.sub.1, and the third term represents the current through
the resistor r.sub.2.
Similarly, the currents I.sub.G and I.sub.R are given by 0
I.sub.G = C.sub.G - (R.sub.1 /r.sub.1.sub.') .sup.. I.sub.B -
(R.sub.e /r.sub.2.sub.') .sup.. I.sub.R (.uparw.)
i.sub.r = c.sub.r - (r.sub.2 /r.sub.1.sub.") .sup.. I.sub.G -
(R.sub.1 /r.sub.2.sub.") .sup.. I.sub.B (53)
by eliminating I.sub.G and I.sub.R from equations 51, 52 and 53
I.sub.B = .alpha..sup.. C.sub.B + B.sup.. C.sub.G + .gamma. .sup..
C.sub.R (54)
here
1/R.sub.1 1/r.sub.1 1/r.sub.2 1/R.sub.2 1/r.sub.2 1/r.sub.1
1/R.sub.2 1/r.sub.2 .alpha. = 1/R.sub.1 1/r.sub.1 1/R.sub.3
1/r.sub.2 1/r.sub.1 1/R.sub.3 1/R.sub.1 1/r.sub.1 1/r.sub.2 .beta.
= 1/R.sub.1 1/r.sub.1 1/R.sub.3 1/r.sub.1 1/R.sub.2 1/r.sub.2
1/r.sub.1 1/r.sub.2 1/r.sub.2 1/r.sub.1 1/R.sub.3 1/R.sub.1
1/r.sub.1 1/r.sub.2 1/r.sub.1 1/r.sub.2 .gamma. = 1/R.sub.1
1/r.sub.1 1/R.sub.2 1/r.sub.2 1/R.sub.2 1/r.sub.2 1/r.sub.2
1/r.sub.1 1/R.sub.3
by using simplified notation for the coefficients of C.sub.B,
C.sub.G and C.sub.R in equation 54, one achieves:
I.sub.B = g.sub.1.sup.. C.sub.B + g.sub.2 .sup.. C.sub.G +
g.sub.3.sup.. C.sub.R
Thus, the voltage V.sub.B across the points a and a' in FIG. 10 is
given by
V.sub.B = R.sub.1.sup.. I.sub.B
= r.sub.1.sup.. g.sub.1.sup.. C.sub.B + R.sub.1.sup.. g.sub.2.sup..
C.sub.G + R.sub.1.sup.. g.sub.3.sup.. C.sub.R
If the coefficients of the output currents C.sub.B, C.sub.G and
C.sub.R are substituted, the following relationship can be
derived:
V.sub.B = G.sub.11.sup.. C.sub.B + G.sub.12.sup.. C.sub.G +
G.sub.13.sup.. C.sub.R (55)
similarly, the voltage V.sub.G across the points b, b' and voltage
V.sub.R across the points c, c' are as follows:
V.sub.G = G.sub.21.sup.. C.sub.B + G.sub.22.sup.. C.sub.G +
G.sub.23.sup.. C.sub.R (56)
v.sub.r = g.sub.31.sup.. c.sub.b + g.sub.32.sup.. c.sub.g +
g.sub.33.sup.. c.sub.r (57)
the coefficients G.sub.ij (i=1-3, j=1-3) in equations 55, 56 and 57
are combinations of various resistances, as described above. In
comparing the voltages V.sub.B, V.sub.G and V.sub.R of equations
55, 56 and 57 against the quantity of the primary colors x.sub.B,
x.sub.G and x.sub.R of equations 14, 15 and 16, the conditions for
equating each of said voltages to the corresponding one of said
quantities are as follows:
G.sub.ij (i=1-3, j=1-3) = D.sub.ij (i=1-3, j=1-3) (58)
In other words, by proper selection of the resistance values of
various resistors, the quantity of the primary colors x.sub.B,
x.sub.G and x.sub.R from each color television cathode ray tube can
be expressed by the voltages V.sub.B, V.sub.G and V.sub.R. Here,
the resistance values can be obtained in a manner similar to that
explained with reference to FIG. 6.
In the case of the aforesaid SBC detector circuit, it is also
possible to make the calculating circuit interchangeable, as in the
case of CdS circuits. More particularly, the calculating circuit
enclosed by dotted lines in FIG. 10 can be made in the form of a
patchable board or the like. The detectors can be also
interchangeably replaced with a memory device having the constants
A.sub.ij (i=1-3, j=1-3), stored therein as defined by equation 8.
It should be noted that the memory device for the SBC detectors is
different from that for the CdS cell in that the resistors shown in
the memory device of FIG. 9 are replaced with certain
constant-current generating means satisfying the conditions of
equations 8 defining the constants A.sub.ij (i=1-3, j=1-3). The
calculating circuits and the memory device can be modified to best
suit the SBC detector circuit, as in the case of the CdS
circuit.
FIG. 12 shows an embodiment incorporating the principles described
and illustrated hereinbefore, referring to FIG. 10. , The apparatus
or color analyzer according to the present invention can also
indicate CIE chromaticity as next described. As shown in equations
26, 27 and 28, the quantities X, Y and Z can be calculated from the
quantity of the primary colors x.sub.B, x.sub.G and x.sub.R, and
the comparison of equations 26, 27, 28 with equations 14, 15, 16
shows that those two groups of equations have the same mathematical
construction.
Equations 26, 27, 28 are represented by the following matrix
expression:
X C.sub.11 C.sub.12 C.sub.13 x.sub.B Y = C.sub.21 C.sub.22 C.sub.23
x.sub.G Z C.sub.31 C.sub.32 C.sub.33 x.sub.R
consequently, with circuit means similar to the aforesaid matrix
circuit or calculating circuit, the values of X, Y and Z can be
determined, for instance, by connecting an assembly of a load
resistance and a second calculating circuit similar to that shown
in FIG. 6 with the output terminals of said circuits of the color
analyzer so that the output currents x.sub.B, x.sub.G and x.sub.R
of said circuits may run through the load resistances of said
assembly. In this case, circuit constants of the second calculation
circuit can be obtained through the following steps substantially
similar to those as mentioned above with reference to the circuit
of FIG. 6.
Generally, makers of color televisions have advised users of the
CIE chromaticity indication of each of the primary colors of
television sets, said primary colors having been obtained when a
reference white is constituted by an additive mixture of the
primary colors which constitute colors of the light issuing from
the fluorescent screen of the cathode ray tube of the color
television set. In this case, we regard the CIE chromaticity
indication of a certain color television set to be measured as
X.sub.r, Y.sub.r, Z.sub.r with regard to the red primary color,
X.sub.g, Y.sub.g, Z.sub.g to the green primary color, and X.sub.b,
Y.sub.b and Z.sub.b to the blue primary color.
Here, assuming that only the red primary color is generated on the
chart pattern of the fluorescent screen of the color television set
to be measured, as indicated above, only the value of the x.sub.R
changes to value x.sub.RU to oscillate the pointer of the
indicating member by a unit range, and the others become zero.
Therefore, said matrix expression can be given as follows:
X.sub.r C.sub.11 C.sub.12 C.sub.13 0 Y.sub.r = C.sub.21 C.sub.22
C.sub.23 0 Z.sub.r C.sub.31 C.sub.32 C.sub.33 x.sub.RU
by expanding said matrix expression, one obtains the following
equations:
X.sub.r = C.sub.13 x.sub.RU
y.sub.r = C.sub.23 x.sub.RU
z.sub.r = C.sub.33 x.sub.RU
In these equations, the values of X.sub.r, Y.sub.r, Z.sub.r are
known factors, and the x.sub.RU is the output of the first matrix
circuit. Therefore, circuit constants corresponding to the
C.sub.13, C.sub.23, C.sub.33 are to be set under the condition that
the outputs of the second matrix circuit take values of X.sub.r,
Y.sub.r, Z.sub.r. Said setting is carried out, for instance, by
observing an indicating member provided at the output of the second
matrix circuit. Said circuit constants are obtained, as explained
with reference to FIG. 6, by setting the values of circuit elements
which give the G.sub.i3 (i=1-3) of equations 36, 37 and 38 and
correspond to the resistors R.sub.3, R.sub.5 and R.sub.7 in FIG. 6.
Similarly, for obtaining other circuit constants of the second
matrix circuit, only the green primary color is then generated on
the chart pattern of said fluorescent screen, and values of the
circuit elements corresponding to the resistors R.sub.2, R.sub.4,
R.sub.9 in FIG. 6 are determined so that the outputs of the second
matrix circuit correspond with the X.sub.g, Y.sub.g, Z.sub.g. Then
only the blue primary color is generated and values of the circuit
elements corresponding to the resistors R.sub.1, R.sub.6, R.sub.8
are determined so that said outputs correspond with the X.sub.g,
Y.sub.g, Z.sub.g.
Once the quantities X, Y and Z are determined, the CIE chromaticity
(x, y) can be calculated by performing a number of additions and
divisions, as specified in equations 21 and 22.
It is also apparent that the quantities X, Y and Z can be
determined from the output levels c.sub.B, c.sub.G and c.sub.R from
the color analyzer according to the present invention, as shown by
equations 30, 31 and 32. Similar matrix circuits can be used for
determining the aforesaid quantities from the color analyzer output
levels, as seen from comparison of equations 30, 31 and 32 with
equations 14, 15 and 16. Here, the circuit constants of this matrix
circuit can be obtained through the following steps. Namely, only
the red primary color is generated on the fluorescent screen of the
color television to which the light receiving member of the color
analyzer is opposite, and values of circuit elements (that is, for
instance, values of the circuit elements corresponding to the
resistors R.sub.3, R.sub.5, R.sub.7 in FIG. 6) corresponding to the
constants E.sub.i3 (i=1-3) are determined so that the outputs of
the matrix circuit correpsond with the X.sub.r, Y.sub.r, Z.sub.r.
Then only the green primary color is generated and values of the
circuit elements corresponding to the constants E.sub.i2 (i=1-3)
are determined so that said outputs correspond with the X.sub.g,
Y.sub.g, Z.sub.g. Lastly, only the blue primary color is generated
and values of the circuit elements corresponding to the constants
E.sub.i1 (i=1-3) are determined so that said outputs correspond
with the X.sub.b, Y.sub.b, Z.sub.b. Such steps are repeated two or
three times. Accordingly, the CIE chromaticity indication can be
provided by carrying out the calculation of equations 21 and 22
through a suitable circuit of known type.
If it is desired to measure the luminance of the light source being
measured, such measurement can be also carried out by slightly
modifying the color analyzer of the present invention. For
instance, in the circuit of FIG. 12, one of the spectral
sensitivities of the detectors (FIG. 3) is so modified as to match
with the specific luminosity V.sub..lambda. to be sufficiently
close for practical applications, and suitable change switches (not
shown) are incorporated in the circuit at each indicating meter
(FIG. 7) to deliver the output level corresponding to the spectral
sensi-tivity to a suitable luminance indicating means without
passing through the aforesaid matrix circuit. Alternately, a
separate detector having spectral output characteristics, which are
sufficiently close to the desired specific luminosity
V.sub..lambda. for practical purposes, can be mounted in the light
receiving portion of the color analyzer, or a separate luminance
indicating meter can be mounted thereon. In FIG. 12, a switch
SW.sub.2 is shown for selectively using the indicating meter
M.sub.G as a luminance indicator as well as the primary color
quantity indicator and, with the switch SW.sub.2 positioned as
shown in the figure, the meter M.sub.G is used as a luminance
meter.
Furthermore, the color analyzer, according to the present
invention, can be used as a photo detector in servo control
systems. For instance, when it is desired to have a standard white
in a white chart pattern which is generated on the fluorescent
screen of the color television set, it is capable of automatically
adjusting the gain for each of the primary colors of the color
television set by a servo-system of which the input terminals are
connected to the output terminals of the color analyzer of the
present invention instead of connecting the indicating member
thereto.
It is also possible within the scope of the present invention to
add display lamps to the indicating meters to facilitate the
inspection thereof, or to improve the accuracy of the meters by
adding a suitable electric circuit, e.g. a circuit to double the
pointer swing in conjunction with suitable selector switches, or
magnifying lenses, etc.
FIG. 20 is a perspective view of an embodiment of the color
analyzer of the present invention, in which the reference numeral
20 designates a calculating circuit, 21 indicating meters, 22 a
connector between a light receiving portion and the main body of
the color analyzer, 23 a range selecting switch for selecting the
accuracy level of the indicating meters, 24 a similar range
selecting switch for the measurement of luminance, and 25 a knob
for adjusting the zero point of the indicating meter pointers.
FIG. 21 and 22 show a memory device and a light receiving portion,
respectively, of a completely fabricated embodiment of the present
invention, illustrated in the perspective view.
It is apparent that the aforesaid embodiments are only by way of
illustration, and various modifications can be made without
departing from the scope of the present invention such as, for
example, by adding an optical system or a filter means in front of
the light receiving portion of the color analyzer, using, as
detectors, photomultiplier, selenium, or PbS photoresistors,
photodiodes, phototransistors, etc., using a constant-voltage
generator for the elements of the memory device depending on the
type of the detectors used in the light receiving portion of the
color analyzer, carrying out the aforesaid calculation in digital
fashion, forming at least a part of the aforesaid calculating
circuit in the form of interchangeable boards to be selectively and
detachably patched to the main body of the color analyzer,
fabricating the aforesaid calculating circuit as a set of
independent calculating parts each usable for a specific
calculation for a type of light source and mounting such set of
parts on the main body of the color analyzer together with a
selective switch so as to select the most suitable calculating part
for each light source being measured, using digital type indicating
means, incorporating a circuit for compensating characteristics of
the outputs of the detecting means to the spectral energy applied
to the detecting means or amplifying circuit in the electric
circuit of the color analyzer, and the like. In the illustrated
embodiments, a D.C. power source consisting of batteries is used,
but any other suitable power source of A.C. or D.C. type can be
also used.
As described in detail in the foregoing, with the color analyzer of
the present invention, individual primary color output levels of
any light source constituted by the additive color mixture of
primary colors having an arbitrary but fixed spectral distribution
can be measured either individually or simultaneously. The color
analyzer, according to the present invention, is also capable of
measuring the luminous energy of the light source, setting the
standard white of a monitor color television simply by regulating
the individual primary colors based on the thusly measured output
energy levels and the luminance, indicating the CIE chromaticity,
storing colors by using a memory device, calibrating the color
analyzer itself without using a light source to be measured,
checking the calculating circuit, measuring individual primary
color output levels from different kinds of light source with the
aid of a calculating circuit but without necessitating calibrations
thereof, setting any desired color based on the thusly measured
output levels, setting the detectors by mounting said memory device
and said calculating circuit on the main body of the color
analyzer, and the like.
The color analyzer of the invention can also be used as an optical
detecting means in a servo-system for automatic setting of an
arbitrary color at the light source being measured.
The color analyzer of the present invention is further
characterized in that it can be easily manufactured on an
industrial mass production basis, and it can be fabricated in the
form of light, handy portable device.
In the aforegoing as well as in the following claims the term
"primary colors" is used to mean such colors as constitute colors
in, for instance, a fluorescent screen of a color television set.
These primary colors have such a nature that the relative spectral
energy distribution characteristic thereof is always constant,
whereas the output energy level thereof is varied, and that the
variation of said output energy level of each of the primary colors
results in formation of different colors in, for instance, said
fluorescent screen.
The term "additive color mixture" is used to mean a mixture as
defined in equation 1 and expresses a spectral distribution
characteristic of a color obtained by the synthesis of spectral
distribution characteristic curves of each of the primary
colors.
* * * * *